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Chung and Jiang showed that, if a one ended group contains an infinite orderelement, then every continuous cocycle over the full shift on that group,taking values in a discrete group, must be cohomologous to a homomorphism. Weshow that their conclusion holds for all one ended groups, so that thehypothesis of admitting an infinite order element may be omitted.

Continuous cocycle superrigidity for the full shift over a finitely generated torsion group